In this paper, we propose a new heuristic symbolic tool for unveiling chaotic and stochastic dynamics: the permutation spectrum test. Several numerical examples allow us to confirm usefulness of introduced methodology. Indeed, show that it is robust in situations which other techniques fail (intermittent chaos, hyperchaotic dynamics, linear nonlinear correlated deterministic non-chaotic noise-driven dynamics). We illustrate applicability reliability pragmatic method by examining real complex...

Electrocardiogram (ECG) data from patients with a variety of heart conditions are studied using ordinal pattern partition networks. The networks formed the ECG time series by symbolizing into patterns. patterns form nodes network and edges defined through ordering in symbolized series. A measure, called mean degree, is computed each series-generated network. In addition, entropy number non-occurring (NFP) for distribution degrees, entropies, NFPs condition compared. statistically significant...

It is known that when symbolizing a time series into ordinal patterns using the Bandt-Pompe (BP) methodology, there will be called forbidden do not occur in deterministic series. The existence of can used to identify dynamics. In this paper, ability use detect determinism irregularly sampled tested on data generated from continuous model system. study done three parts. First, effects sampling number are studied regularly next two parts focus types irregular-sampling, missing and timing...

The 0-1 test for chaos is a recently developed time series characterization algorithm that can determine whether system chaotic or nonchaotic. While the was designed deterministic series, in real-world measurement situations, noise levels may not be known and have difficulty distinguishing between randomness. In this paper, we couple with determinism apply these tests to noisy symbolic generated from various model systems. We find pairing of improves ability correctly distinguish randomness...

The number of missing ordinal patterns (NMP) is the that do not appear in a series after it has been symbolized using Bandt and Pompe methodology. In this paper, NMP demonstrated as test for nonlinearity surrogate framework order to see if statistically different from iterative amplitude adjusted Fourier transform (IAAFT) surrogates. It found works well statistic nonlinearity, even cases very short time series. Both model experimental are used demonstrate efficacy nonlinearity.

Recently, Wiebe and Virgin [Chaos 22, 013136 (2012)] developed an algorithm which detects chaos by analyzing a time series' power spectrum is computed using the Discrete Fourier Transform (DFT). Their algorithm, like other series characterization algorithms, requires that be regularly sampled. Real-world data, however, are often irregularly sampled, thus, making detection of chaotic behavior difficult or impossible with those methods. In this paper, presented, effectively in sampled series....

During the past 10 years, quantum tunneling has been established as one of dominant mechanisms for recombination in random distributions electrons and positive ions, many dosimetric materials. Specifically shown to be closely associated with two important effects luminescence materials, namely long term afterglow anomalous fading. Two common assumptions models based on ions are: (a) An electron tunnels from a donor nearest acceptor, (b) concentration is much lower than that at all times...

Semilocalized transition (SLT) kinetic models for thermoluminescence (TL) contain characteristics of both a localized (LT) and single trap model. TL glow curves within SLT typically two peaks; the first peak corresponds to intra-pair luminescence due LTs second delocalized transitions involving conduction band (CB). The latter has also been found exhibit non-typical double-peak structure, in which main is accompanied by smaller called displacement peak. This paper describes simulation...

The Bennati-Drăgulescu-Yakovenko (BDY) game is an agent-based simple exchange that models a basic economic system. BDY results in the agents' wealth following Boltzmann-Gibbs distribution. In other words, result of many "poor" agents and few "wealthy" agents. this paper, we apply several tax redistribution to study their effect on population's distribution by computing resulting Gini coefficient We find income taxes, both flat progressive, evenly redistributed taxed monies do little change...